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Finding the Fourth Proportional to 784.93, 1,178.10 and 420.03

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Solution

The fourth proportional to 784.93, 1,178.10 and 420.03 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.93 : 1,178.10 = 420.03 : x
  2. Step 2: Convert to fraction form
    784.93/1,178.10 = 420.03/x
  3. Step 3: Cross multiply
    784.93x = 1,178.10 × 420.03
  4. Step 4: Simplify right side
    784.93x = 494,837.34
  5. Step 5: Solve for x
    x = 494,837.34/784.93
  6. Step 6: Final answer
    x = 630.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.